Got similar vibe. Though Run On is more slow and got more into comedy.
Sweet teeth is more sweet and cute.
Both dramas got very good chemistry between all pairs in drama.

Both tries to be funny romance in historical setting.
Both got scholar guy vs martial girl
At least from start alike vibe
Hold on my lady is much shorter and couple marries right from start

chinese ripoff
BUT I gived this one half star more thanExtraordinary You
Just liked it more.

24eps about 9 mins per one if you get rid of opening and ending songs you get 5min watchtime per ep.
In such short time they managed to cook interesting story with good acting.

Same male actor through by few years younger since its from 2013.
Same style of movie COPS, Criminals vs main hero.
Think two weeks got more of urgency in his moves since he works againts time too.